Least Common Multiple of 394 and 402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 394 and 402 the smallest integer that is 79194 that is divisible by both numbers.

Least Common Multiple (LCM) of 394 and 402 is 79194.

LCM(394,402) = 79194

LCM of 394 and 402

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 394 and 402

LCM of 394 and 402 is 79194

Least common multiple can be found by multiplying the highest exponent prime factors of 394 and 402. First we will calculate the prime factors of 394 and 402.

Prime Factorization of 394


2 394
197 197
1

Prime factors of 394 are 2,197. Prime factorization of 394 in exponential form is:

394 = 21×1971

Prime Factorization of 402


2 402
3 201
67 67
1

Prime factors of 402 are 2, 3,67. Prime factorization of 402 in exponential form is:

402 = 21×31×671

Now multiplying the highest exponent prime factors to calculate the LCM of 394 and 402.

LCM(394,402) = 21×31×671×1971
LCM(394,402) = 79194

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Least Common Multiple of 394 and 402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 394 and 402, than apply into the LCM equation.

GCF(394,402) = 2
LCM(394,402) = ( 394 × 402) / 2
LCM(394,402) = 158388 / 2
LCM(394,402) = 79194

Properties of LCM 394 and 402

(i) The LCM of 402 and 394 is associative

LCM of 394 and 402 = LCM of 402 and 394

Related Least Common Multiples of 394

Related Least Common Multiples of 402

Frequently Asked Questions on LCM of 394 and 402

1. What is the LCM of 394 and 402?

Answer: LCM of 394 and 402 is 79194.

2. What are the Factors of 394?

Answer: Factors of 394 are 1, 2, 197, 394. There are 4 integers that are factors of 394. The greatest factor of 394 is 394.

3. What are the Factors of 402?

Answer: Factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402. There are 8 integers that are factors of 402. The greatest factor of 402 is 402.

4. How to Find the LCM of 394 and 402?

Answer:

Least Common Multiple of 394 and 402 = 79194

Step 1: Find the prime factorization of 394

394 = 2 x 197

Step 2: Find the prime factorization of 402

402 = 2 x 3 x 67

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 79194 = 2 x 3 x 67 x 197

Step 4: Therefore, the least common multiple of 394 and 402 is 79194.